Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1704561 | Applied Mathematical Modelling | 2012 | 15 Pages |
Abstract
In this paper stabilizing unstable periodic orbits (UPO) in a chaotic fractional order system is studied. Firstly, a technique for finding unstable periodic orbits in chaotic fractional order systems is stated. Then by applying this technique to the fractional van der Pol and fractional Duffing systems as two demonstrative examples, their unstable periodic orbits are found. After that, a method is presented for stabilization of the discovered UPOs based on the theories of stability of linear integer order and fractional order systems. Finally, based on the proposed idea a linear feedback controller is applied to the systems and simulations are done for demonstration of controller performance.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mohammad A. Rahimi, Hassan Salarieh, Aria Alasty,